Answer:
D.)
/
Step-by-step explanation:
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
Answer:
n = -45
Step-by-step explanation:
(n-5) /10 = -5
Multiply each side by 10
(n-5) /10 *10= -5*10
n-5 = -50
Add 5 to each side
n-5+5 = -50+5
n = -45
<h3>
The probability of picking a red face card from the deck is 
</h3><h3>
The probability of NOT picking a red face card from the deck is 
</h3>
Step-by-step explanation:
The total number of cards in the deck = 52
The total number of red( Diamond + Hearts) face cards in the given deck
= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards
Let E : Event of picking a red face card from the deck
Now , P( any event) = 
So, here P(Picking a red face card) = 
Hence, the probability of picking a red face card from the deck is 
Now, as we know P (any event NOT A) = 1 - P(any event A)
So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)
Hence, the probability of NOT picking a red face card from the deck is 